A food store makes 6- pound mixture of pecans, pistachios , and dried bananas. The cost of pecans is $1.50 per pound, pistachios cost $1.00 per pound, and dried bananas cost$1.50 per pound. The mixture calls for twice as many pecans as pistachios. The total cost of the mixture is$8.50. How much of each ingredient did the store use?

Amount of pecans = 2 pounds

Amount of pistachios = 1 pound

Amount of dried bananas = 3 pounds

Step-by-step explanation:

Let and denote amount of pecans, pistachios , and dried bananas in 6-pound mixture.

Amount of mixture = 6 pounds

So,

The cost of pecans is $1.50 per pound, pistachios cost $1.00 per pound, and dried bananas cost$1.50 per pound and the total cost of the mixture is$8.50.

The mixture calls for twice as many pecans as pistachios.

Put in (i)

Put in (ii)

Multiply (iv) by 4 and (v) by 3

Subtract (vi) from (vii)

Put in (iv)

Put in (iii)

Therefore,

Amount of pecans = 2 pounds

Amount of pistachios = 1 pound

Amount of dried bananas = 3 pounds